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18983640 = 23351343283
BaseRepresentation
bin100100001101…
…0101011011000
31022201110122210
41020122223120
514324434030
61514515120
7320233614
oct110325330
938643583
1018983640
11a796765
126435aa0
133c18930
142742344
1519eebb0
hex121aad8

18983640 has 128 divisors (see below), whose sum is σ = 62979840. Its totient is φ = 4548096.

The previous prime is 18983639. The next prime is 18983659. The reversal of 18983640 is 4638981.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66939 + ... + 67221.

It is an arithmetic number, because the mean of its divisors is an integer number (492030).

Almost surely, 218983640 is an apocalyptic number.

18983640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18983640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31489920).

18983640 is an abundant number, since it is smaller than the sum of its proper divisors (43996200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

18983640 is a wasteful number, since it uses less digits than its factorization.

18983640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 18983640 is about 4357.0219186963. The cubic root of 18983640 is about 266.7635550709.

The spelling of 18983640 in words is "eighteen million, nine hundred eighty-three thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 43 52 60 65 78 86 104 120 129 130 156 172 195 215 258 260 283 312 344 390 430 516 520 559 566 645 780 849 860 1032 1118 1132 1290 1415 1560 1677 1698 1720 2236 2264 2580 2795 2830 3354 3396 3679 4245 4472 5160 5590 5660 6708 6792 7358 8385 8490 11037 11180 11320 12169 13416 14716 16770 16980 18395 22074 22360 24338 29432 33540 33960 36507 36790 44148 48676 55185 60845 67080 73014 73580 88296 97352 110370 121690 146028 147160 158197 182535 220740 243380 292056 316394 365070 441480 474591 486760 632788 730140 790985 949182 1265576 1460280 1581970 1898364 2372955 3163940 3796728 4745910 6327880 9491820 18983640